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Finding the Fourth Proportional to 9,283.23, 13,930.92 and 8,532.36

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Solution

The fourth proportional to 9,283.23, 13,930.92 and 8,532.36 is: 12,804.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,283.23 : 13,930.92 = 8,532.36 : x
  2. Step 2: Convert to fraction form
    9,283.23/13,930.92 = 8,532.36/x
  3. Step 3: Cross multiply
    9,283.23x = 13,930.92 × 8,532.36
  4. Step 4: Simplify right side
    9,283.23x = 118,863,624.57
  5. Step 5: Solve for x
    x = 118,863,624.57/9,283.23
  6. Step 6: Final answer
    x = 12,804.12

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.